JBMO-SL 2006 Problem 8
Prove that there do not exist natural numbers having all digits different from zero, and such that all numbers which are obtained by permutations of its digits are perfect squares.
Dataset text AI-MO AoPS. Quoted with source.
Solutions
No solution is on olymmath yet. Official and human solutions come first when they arrive. AI solutions come after them, with a label.
Similar problems
These problems have the most words in common with this statement.